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Finding the Fourth Proportional to 8,114.40, 12,171.60 and 4,825.80

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Solution

The fourth proportional to 8,114.40, 12,171.60 and 4,825.80 is: 7,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.40 : 12,171.60 = 4,825.80 : x
  2. Step 2: Convert to fraction form
    8,114.40/12,171.60 = 4,825.80/x
  3. Step 3: Cross multiply
    8,114.40x = 12,171.60 × 4,825.80
  4. Step 4: Simplify right side
    8,114.40x = 58,737,707.28
  5. Step 5: Solve for x
    x = 58,737,707.28/8,114.40
  6. Step 6: Final answer
    x = 7,238.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.